{"id":"W2038133488","doi":"10.1016/j.jsc.2007.11.005","title":"Approximate factorization of multivariate polynomials using singular value decomposition","year":2007,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":69,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"National Science Foundation","keywords":"Mathematics; Singular value decomposition; Factorization; Multivariate statistics; Generalization; Applied mathematics; Set (abstract data type); Decomposition; Algorithm; Mathematical analysis; Statistics; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007088789,0.000797678,0.001111371,0.0009529014,0.0004618002,0.001111585,0.0005749517,0.0005786992,0.003927341],"category_scores_gemma":[0.003474547,0.000336131,0.0006721801,0.001158572,0.0006313075,0.001463656,0.0007907411,0.001175506,0.001252333],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003958883,"about_ca_system_score_gemma":0.00094893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003233185,"about_ca_topic_score_gemma":0.004210585,"domain_scores_codex":[0.9994961,0.00012962,0.00002212872,0.00004204928,0.0002552448,0.00005478008],"domain_scores_gemma":[0.9991819,0.0003250298,0.00007105079,0.0001531948,0.0002174253,0.00005135799],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004101601,0.0001834938,0.001065834,0.0003072704,0.0001327092,0.0002852579,0.0002163233,0.4889563,0.02139729,0.166067,0.005707168,0.3152711],"study_design_scores_gemma":[0.00001289334,0.00002528155,0.00008048707,0.000009826394,0.000008147058,0.00003216044,0.00002167206,0.975009,0.001693464,0.02173086,0.001368988,0.00000721583],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01496545,0.0002229911,0.9828405,0.0001050019,0.00007462622,0.00001668675,0.00004475082,0.0002392283,0.00149063],"genre_scores_gemma":[0.3433236,0.0008032183,0.6496348,0.00007793959,0.0001526958,0.00007104159,0.0003189923,0.0001822277,0.005435506],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003927341,"threshold_uncertainty_score":0.01313829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02778806671875694,"score_gpt":0.3559300464458081,"score_spread":0.3281419797270511,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}